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Finding the Fourth Proportional to 402,709.78, 604,023.12 and 136,463.40

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Solution

The fourth proportional to 402,709.78, 604,023.12 and 136,463.40 is: 204,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,709.78 : 604,023.12 = 136,463.40 : x
  2. Step 2: Convert to fraction form
    402,709.78/604,023.12 = 136,463.40/x
  3. Step 3: Cross multiply
    402,709.78x = 604,023.12 × 136,463.40
  4. Step 4: Simplify right side
    402,709.78x = 82,427,048,633.81
  5. Step 5: Solve for x
    x = 82,427,048,633.81/402,709.78
  6. Step 6: Final answer
    x = 204,681.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.